MS Algebra A-F-IF-7 Ch. 5.6a Graph Using Slope-Intercept Form. Mr. Deyo Graph Using Slope-Intercept Form
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1 MS Algebra A-F-IF-7 Ch. 5.6a Graph Using Slope-Intercept Form Mr. Deyo Graph Using Slope-Intercept Form
2 Title: 5.6a Slope-Intercept Form Date: Learning Target By the end of the period, I will apply the slopeintercept form and graph linear equations. I will demonstrate this by completing Four- Square Notes and by solving problems in a pair/group activity. Teacher Note: Graph paper helpful for this lesson.
3 Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 5.6 Pg ) Section TxtBk. Prob.#5-21 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due
4 Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer: 1. How are the two images similar? 2. How are they different? 3. How can these two images be related to math?
5 Daily Warm-Up Exercises For use with pages xxx xxx Rewrite 5x + y = 8 so y is a function of x. Find the slope of the line that passes through (-5, 6) and (0, 8) x y
6 Daily Warm-Up Exercises For use with pages xxx xxx Rewrite 5x + y = 8 so y is a function of x. Find the slope of the line that passes through (-5, 6) and (0, 8) 5x + y = 8 x y -5x -5x 0 8 y = -5x (-5) ANSWER =5 ANSWER = 2 y = 5x + 8 = 2 5
7 Vocabulary Rate of Change 1) Slope 2) Rise 3) Run 4) Slope-Intercept Form 5) Point-Slope Form
8 Sketch DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch Wordwork DAY 3 and/or DAY 4 1. Review the word Friendly Definition Physical Representation 2. Show how the word works Synonyms/antonym Word Problems Related words/phrases Example/non-example Word List Friendly Definition DAY 1 1. Use Visuals 2. Introduce the word Friendly Definition Physical Representation 3. Use Cognates 4. Write friendly definition 5. Physical Representation DAY 5 1. Review the word Friendly definition Physical Representation Sentence 3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing
9 Notes: How To Get To Slope-Intercept Form Solve Ax + By = C -Ax -Ax By = -Ax + C B B B A = Coefficient of x B = Coefficient of y C = Constant Solve for y for y y = (-A/B)x + C/B y = mx + b m = slope b = y-intercept Slope-Intercept Form of a Linear Equation
10 Problem(s) A Identify slope and y-intercept Identify the slope and y-intercept of the line with the given equations. y = 5x - 3 3x - 3y = 12
11 Problem(s) A Identify slope and y-intercept SOLUTION Identify the slope and y-intercept of the line with the given equations. y = 5x - 3 The equation is in the form y = mx + b. So, the slope (m) of the line is 5, and the y-intercept is -3. 3x - 3y = 12 You have to rewrite the equation in slope-intercept form by solving for y. 3x - 3y = 12-3x -3x -3y = -3x y = 1x - 4 So, the slope (m) of the line is 1, and the y-intercept is -4.
12 Problem(s) B Identify slope and y-intercept Identify the slope and y-intercept of the line with the given equations. y = 3x + 4 3x + y = 2
13 Problem(s) B Identify slope and y-intercept SOLUTION Identify the slope and y-intercept of the line with the given equations. y = 3x + 4 The equation is in the form y = mx + b. So, the slope (m) of the line is 3, and the y-intercept is 4. 3x + y = 2 You have to rewrite the equation in slope-intercept form by solving for y. 3x + y = 2-3x -3x y = -3x + 2 So, the slope (m) of the line is -3, and the y-intercept is 2.
14 Storm Check (Think, Write, Discuss, Report) How do you verify that a given linear equation is in slope-intercept form? (2-3 sentences) To verify that a given linear equation is in slope-intercept form, I have to. If the equation is not in slope-intercept form, I have to.
15 Title: 5.6a Slope-Intercept Form Date: Learning Target By the end of the period, I will apply the slopeintercept form and graph linear equations. I will demonstrate this by completing Four- Square Notes and by solving problems in a pair/group activity. Teacher Note: Graph paper helpful for this lesson.
16 Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 5.6 Pg ) Section TxtBk. Prob.#5-21 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due
17 Notes: How To Get To Slope-Intercept Form Solve Ax + By = C -Ax -Ax By = -Ax + C B B B A = Coefficient of x B = Coefficient of y C = Constant Solve for y for y y = (-A/B)x + C/B y = mx + b m = slope b = y-intercept Slope-Intercept Form of a Linear Equation
18 Problem A Graph the function ( y = mx + b ) 2x + y = 3 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times x y
19 Problem A Graph the function ( y = mx + b ) Step 1) 2x + y = 3-2x -2x 2x + y = 3 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times m = -2 Step 2) y = -2x + 3 b = 3 (0, 3) (0, 3) (1, 1) Step 3) x y (2, -1)
20 Problem B Graph the function ( y = mx + b ) y = -2x + 5 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times x y
21 Problem B Graph the function ( y = mx + b ) Step 1) y = -2x + 5 Already solved for y y = -2x + 5 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times m = -2 (0, 5) Step 2) b = 5 (0, 5) (1, 3) (2, 1) Step 3) x y
22 Guided Practice Graph the function ( y = mx + b ) 3x - y = 1 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times x y
23 Guided Practice Graph the function ( y = mx + b ) Step 1) m = 3 Step 2) Step 3) 3x - y = 1-3x -3x - y = -3x + 1 x y = 3x - 1 b = -1 (0, -1) y x - y = 1 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times (1, 2) (0, -1) (2, 5)
24 Storm Check (Think, Write, Discuss, Report) How do you verify that a given linear equation is in slope-intercept form? (2-3 sentences) To verify that a given linear equation is in slope-intercept form, I have to. If the equation is not in slope-intercept form, I have to.
25 Guided Practice Graph the function ( y = mx + b ) y = 2x 2 3 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times x y
26 Guided Practice Graph the function ( y = mx + b ) Step 1) y = 2x 2 3 Already in slope-intercept form! Step 2) Step 3) m = 2 3 b = -2 (0, -2) x y y = 2x 2 3 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times (0, -2) (6, 2) (3, 0)
27 Vocabulary Rate of Change 1) Slope 2) Rise 3) Run 4) Slope-Intercept Form 5) Point-Slope Form
28 Sketch DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch Wordwork DAY 3 and/or DAY 4 1. Review the word Friendly Definition Physical Representation 2. Show how the word works Synonyms/antonym Word Problems Related words/phrases Example/non-example Word List Friendly Definition DAY 1 1. Use Visuals 2. Introduce the word Friendly Definition Physical Representation 3. Use Cognates 4. Write friendly definition 5. Physical Representation DAY 5 1. Review the word Friendly definition Physical Representation Sentence 3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing
29 Title: 5.6a Slope-Intercept Form Date: Learning Target By the end of the period, I will apply the slopeintercept form and graph linear equations. I will demonstrate this by completing Four- Square Notes and by solving problems in a pair/group activity. Teacher Note: Graph paper helpful for this lesson.
30 Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 5.6 Pg ) Section TxtBk. Prob.#5-21 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due
31 Graph the function ( y = mx + b ) Ticket OUT. 2x 5y = 10 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times x y
32 Graph the function ( y = mx + b ) Step 1) m = 2 5 Step 2) Step 3) 2x 5y = 10 2x 5y = 10-2x = -2x -5y = -2x x y = 2x -2 5 b = -2 (0, -2) y (-5, -4) (0, -2) Step 1) Step 2) Step 3) Ticket OUT. ANSWER Solve for y Plot y-intercept Plot the slope 2 or 3 times (5, 0)
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